A Nonperturbative Renormalization Group Procedure for Light-Front Hamiltonian
نویسندگان
چکیده
منابع مشابه
A renormalization group approach to Hamiltonian light - front field theory
A perturbative renormalization group is formulated for the study of Hamiltonian light-front field theory near a critical Gaussian fixed point. The only light-front renormalization group transformations found here that can be approximated by dropping irrelevant operators and using perturbation theory near Gaussian fixed volumes, employ invariant-mass cutoffs. These cutoffs violate covariance and...
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A perturbative renormalization group (RG) scheme for light-front Hamiltonian is formulated on the basis of the Bloch-Horowitz effective Hamiltonian, and applied to the simplest φ4 model with spontaneous breaking of the Z2 symmetry. RG equations are derived at one-loop order for both symmetric and broken phases. The equations are consistent with those calculated in the covariant perturbation the...
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Within the covariant formulation of Light-Front Dynamics, in a scalar model with the interaction Hamiltonian H = −gψ2(x)φ(x), we calculate nonperturbatively the renormalized state vector of a scalar ”nucleon” in a truncated Fock space containing the N , Nπ and Nππ sectors. The model gives a simple example of nonperturbative renormalization which is carried out numerically. Though the mass renor...
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The infinitesimal unitary transformation, introduced recently by F. Wegner, to bring the Hamiltonian to diagonal (or band diagonal) form, is applied to the Hamiltonian theory as an exact renormalization scheme. We consider QED on the light front to illustrate the method. The low-energy generated interaction, induced in the renormalized Hamiltonian to the order α, is shown to be negative to insu...
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The three-dimensional real scalar model, in which the Z2 symmetry spontaneously breaks, is renormalized in a nonperturbative manner based on the Tamm-Dancoff truncation of the Fock space. A critical line is calculated by diagonalizing the Hamiltonian regularized with basis functions. In the broken phase the canonical Hamiltonian is tachyonic, so the field is shifted as φ(x) → φ(x) + v. The shif...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics Supplement
سال: 2013
ISSN: 0375-9687
DOI: 10.1143/ptp.120.271